question 2 , 5 ,7
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Answers
Answer 2)
Let ABC be the D
Let ∠A=x
∠B=2x
∠C=x
∠A+∠B+∠C=180
4x=180
x=45
∠A=45
∠B=90
∠C=45
Since ∠A=∠C
ABC is isosceles D4
.
Since ∠B=90
ABC is Right angled at B.
Answer 5)
In ΔXCY, (Refer the attachment)
mbegin mathsize 16px style angle end styleC= 900
Therefore by Pythagoras Theorem,
XC2 = XY2 + CY2
CY2= XC2 - XY2 = 372 - 122 = 1225
Therefore CY = 35 m
Similarly,
In ΔABC,
By applying Pythagoras theorem, we get
BC = 12 m
Therefore the width of the street = BY = BC + CY = 35 + 12 = 47 m
Answer 7)
Given: A 5m long ladder When Set Against The Wall Of A House Reaches A Height Of 4.8m
To do: Find how far is the foot of the ladder from the wall
Solution:
To solve this question, we will use Pythagoras theorem:
Hypotenuse2= Base2+ Height2
Here height = 4.8m, Hypotenuse = 5m (Refer 2 attachment)
We need to find base:
5^2= base^2 +4.8^2
25- 23.04= base^2
1.96= base^2
Base=
Base= 1.4
Hope this helps you✌✌